2258124840 has 96 divisors (see below), whose sum is σ = 7459288200. Its totient is φ = 592289280.

The previous prime is 2258124829. The next prime is 2258124851. The reversal of 2258124840 is 484218522.

It is an interprime number because it is at equal distance from previous prime (2258124829) and next prime (2258124851).

It can be written as a sum of positive squares in 4 ways, for example, as 779414724 + 1478710116 = 27918^2 + 38454^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2258124795 and 2258124804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29455 + ... + 73374.

Almost surely, 2^2258124840 is an apocalyptic number.

2258124840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258124840 is an abundant number, since it is smaller than the sum of its proper divisors (5201163360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2258124840 is a wasteful number, since it uses less digits than its factorization.

2258124840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102907 (or 102900 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2258124840 is about 47519.7310598450. The cubic root of 2258124840 is about 1311.9460693799.

The spelling of 2258124840 in words is "two billion, two hundred fifty-eight million, one hundred twenty-four thousand, eight hundred forty".